Using the theorem of Fréchet and Kolmogorov about compact subsets of the space $L_p\lbrack 0, 1 \rbrack$ and Prohorov's theorem about the convergence of measures ...

This paper deals with convergence theorems for martingales of strongly measurable Pettis integrable functions. First, a characterization of those martingales which converge in the Pettis norm is ...